What is 37.6 percent of 799.99 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 799.99 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 799.99 is 100%, so we can write it down as 799.99=100%.
4. We know, that x is 37.6% of the output value, so we can write it down as x=37.6%.
5. Now we have two simple equations:
1) 799.99=100%
2) x=37.6%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
799.99/x=100%/37.6%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 37.6% of 799.99

799.99/x=100/37.6
(799.99/x)*x=(100/37.6)*x       - we multiply both sides of the equation by x
799.99=2.6595744680851*x       - we divide both sides of the equation by (2.6595744680851) to get x
799.99/2.6595744680851=x
300.79624=x
x=300.79624

now we have:
37.6% of 799.99=300.79624